The earliest broadside I have copies of is by Pitts of London but it's his 1818 to 1844 address.
At least one broadside gives the air as 'End for End Jack' which I know nothing about.
It might also be worth posting that apart from oral tradition the song appears to have been retained in the repertoires of light opera singers possibly from printings based on the version in Lucy Broadwood and Fuller Maitland's 'English County Songs'